Derivative polynomials and closed-form higher derivative formulae
Authors:
Djurdje Cvijovi?
Affiliation:
Atomic Physics Laboratory, Vin?a Institute of Nuclear Sciences, P.O. Box 522, 11001 Belgrade, Serbia
Abstract:
In a recent paper, Adamchik [1] expressed in a closed-form symbolic derivatives of four functions belonging to the class of functions whose derivatives are polynomials in terms of the same functions. In this sequel, simple closed-form higher derivative formulae which involve the Carlitz-Scoville higher order tangent and secant numbers are derived for eight trigonometric and hyperbolic functions.